417973120 has 32 divisors (see below), whose sum is σ = 999218520. Its totient is φ = 167188992.

The previous prime is 417973117. The next prime is 417973123. The reversal of 417973120 is 21379714.

It is an interprime number because it is at equal distance from previous prime (417973117) and next prime (417973123).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417973123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 325902 + ... + 327181.

Almost surely, 2^417973120 is an apocalyptic number.

417973120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417973120 is an abundant number, since it is smaller than the sum of its proper divisors (581245400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417973120 is an equidigital number, since it uses as much as digits as its factorization.

417973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653102 (or 653090 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 417973120 is about 20444.3909178043. The cubic root of 417973120 is about 747.6806094454.

The spelling of 417973120 in words is "four hundred seventeen million, nine hundred seventy-three thousand, one hundred twenty".